It is widely believed that the example of electrodynamics shows how physical laws are naturally expressed in terms of external differential forms and integrals of them. However, in practice, the authors of popular textbooks avoid using the mathematical apparatus of differential forms [1—4]. Differential forms are not mentioned in the popular Handbook of Mathematics [5]. Physicists ignore the remarkable works of Schouten, carried out in the first half of the last century [6, 7], in which visual images of differential forms are given. Only occasionally do publications appear on this topic [8]. However, even in the book [6] only one page is devoted to the equations of electrodynamics.On the other hand, the strict formalism of differential forms, expounded in detail and repeatedly by mathematicians [9, 10], is not suitable for the formulation and explanation of physical laws. It loses when compared with the traditional style of presentation, and the notation of mathematicians fatally prevents the use of the theory of differential forms in physics. True, a remarkable and almost successful attempt to bring mathematics and physics closer was made by Schutz [11]. However, in our opinion, the notation used in the book [11] is not yet fully adapted for successful use by physicists. This also applies to the section of the book devoted to electrodynamics.We hope to introduce external differential forms into ordinary electrodynamics primarily by changing the notation. We also use conjugation [12] instead of the traditional Hodge operation [13]. This makes it possible to connect various fields of electrodynamics into single chains. Moreover, the depiction of differential forms makes this connection very clear. In particular, the representations of fields related by Maxwell's equations made these equations self-evident. A particularly long chain of fields is shown in Fig. 9.Field chains contain both known exotic fields [14] and many hypothetical fields. The use of field chains allowed us to take a new look at the action of the Laplace operator, the action of the "second-order generation operator" inverse to the Laplace operator, and the Helmholtz expansion procedure. In particular, the Helmholtz expansion of the singular delta function turned out to be related to the expansion of magnetic induction into the magnetization vector and magnetic field strength [15]. We hope to show the simplicity and naturalness of the proposed approach.